Dissipative dynamics of cold atoms in an optical lattice

Zhao, Yiran; Cui, Bo

doi:10.1088/1555-6611/ab48fe

Cited by 3 publications

(3 citation statements)

References 52 publications

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“…When the average of δa and δa † a are extremely small, they can safely be omitted and the mean-field approximation holds [33,34]. The distance-selective dissipation proportional to γ and external driving proportional to f governs the system dynamics and the evolution of the number of atoms at each site [2,19].…”

Section: Theoretical Methodsmentioning

confidence: 99%

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Transport properties of cold atoms in optical lattice

Xue¹,

Dai²,

Cui³

2021

Laser Phys.

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We investigated the transport properties of cold atoms in a one-dimensional optical lattice under distance selective dissipation and external driving. We analyze how tunneling, on-site interaction, dissipation and external driving affect the transport of cold atoms. We used mean-field theory and the classical phase space method to explain the dynamics of the system. In order to analyze the transport effect of cold atoms, we calculate the relative density of atoms on each site and the standard deviation of relative density. The manipulation transport of cold atoms can be achieved through a step function like interaction in theory. In particular, we study the transport of cold atoms in the double-well with external driving. The steady states of the system are analytically derived.

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Section: Theoretical Methodsmentioning

confidence: 99%

“…Although some influence laws of environmental factors on the system dynamics has been found out by numerical simulations [19]. There are still some laws about the transport properties of cold atoms that deserved our attention.…”

Section: Introductionmentioning

confidence: 99%

Transport properties of cold atoms in optical lattice

Xue¹,

Dai²,

Cui³

2021

Laser Phys.

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“…In the previous section, we studied the KPO as a ubiquitous model describing a broad class of systems, where one directly drives a bosonic resonator (be it vibrational, electric, photonic, or composed of more complex particles) with a two-particle drive. In this section, we consider instead a many-body light-matter system, where PTs appear due to the coupling between the matter degrees of freedom and a bosonic resonator cavity [23,[57][58][59][60][61][62][63][64][65]. We specifically study a ubiquitous model describing light-matter systems, dubbed the interpolating Dicke-Tavis-Cummings (IDTC) model [22,30,66,67], which is a generalized version of the Dicke [57,68,69] and the Tavis-Cummings [70] models.…”

Section: B Interpolating Dicke-tavis-cummingsmentioning

confidence: 99%

Distinctive class of dissipation-induced phase transitions and their universal characteristics

Soriente,

Heugel,

Arimitsu

et al. 2021

Preprint

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Coupling a system to a nonthermal environment can profoundly affect the phase diagram of the closed system, giving rise to a special class of dissipation-induced phase transitions. Such transitions take the system out of its ground state and stabilize a higher-energy stationary state, rendering it the sole attractor of the dissipative dynamics. In this work, we present a unifying methodology, which we use to characterize this ubiquitous phenomenology and its implications for the open system dynamics. Specifically, we analyze the closed system's phase diagram, including symmetry-broken phases, and explore their corresponding excitations' spectra. Opening the system, the environment can overwhelm the system's symmetry-breaking tendencies, and changes its order parameter. As a result, isolated distinct phases of similar order become connected, and new phase-costability regions appear. Interestingly, the excitations differ in the newly-connected regions through a change in their symplectic norm, which is robust to the introduction of dissipation. As a result, by tuning the system from one phase to the other across the dissipation-stabilized region, the open system fluctuations exhibit an exceptional point-like scenario, where the fluctuations become overdamped, only to reappear with an opposite sign in the dynamical response function of the system. The overdamped region is also associated with squeezing of the fluctuations. We demonstrate the pervasive nature of such dissipation-induced phenomena in two prominent examples, namely in parametric resonators and in light-matter systems. Our work draws a crucial distinction between quantum phase transitions and their zero-temperature open system counterparts.

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